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Trigonometry

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Moderate

Complex Number, Trigonometric to Standard Form, Degree measure

TRIG-QBZJ1L

What is the standard form of $z= 3\cos { \left( { 150 }^{ ° } \right) } +3i\sin { \left( { 150 }^{ ° } \right) } $?

A

$z=\cfrac { -3\sqrt { 3 } }{ 2 } +i\cfrac { 3 }{ 2 }$

B

$z=\cfrac { 3\sqrt { 3 } }{ 2 } +i\cfrac { 3 }{ 2 }$

C

$z=\cfrac { -3\sqrt { 3 } }{ 2 } -i\cfrac { 3 }{ 2 }$

D

$z=\cfrac { 3\sqrt { 3 } }{ 2 } -i\cfrac { 3 }{ 2 }$